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4024/11 Oct/Nov 2024, Question 10: Simultaneous Equations by Elimination

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Solve the simultaneous equations 3a + b = −4 and 2a + 3b = 9, showing working.

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Solution · 3 marks

  1. 1Multiply the first equation by 3: 9a + 3b = −12
  2. 2Subtract 2a + 3b = 9: 7a = −21 so a = −3
  3. 33 × (−3) + b = −4 so b = 5
  4. 4a = −3, b = 5

Answera = −3, b = 5

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